Формулы Flashcards

1
Q

tg(a±b)

A

(tga±tgb)/(1∓tga*tgb)

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2
Q

sina±sinb

A

2sin((a±b)/2)cos((a∓b)/2)

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3
Q

cosa+cosb

A

2cos((a+b)/2)cos((a-b)/2)

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4
Q

cosa-cosb

A

-2sin((a+b)/2)sin((a-b)/2)

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5
Q

tga±tgb

A

(sin(a±b))/cosa*cosb

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6
Q

sinα ∙ sinβ

A

(cos(α - β) - cos(α + β))/2

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7
Q

sinα ∙ cosβ

A

(sin(α - β) + sin(α + β))/2

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8
Q

cosα ∙ cosβ

A

(cos(α - β) + cos(α + β))/2

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9
Q

tgx^2 + 1

A

1/cosx^2

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10
Q

ctgx^2 + 1

A

1/sinx^2

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11
Q

tg2x

A

2tgx/(1-tgx^2)

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12
Q

ctg2x

A

(ctgx^2-1)/2ctgx

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13
Q

sin3x

A

3sinx - 4sinx^3

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14
Q

cos3x

A

4cosx^3 - 3cosx

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15
Q

sin(α ± β)

A

sinα cosβ ± cosα sinβ

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16
Q

cos(α ± β)

A

cosα cosβ ∓ sinα sinβ

17
Q

Sn арифм

A

(n(a1 + d(n - 1)))/2 или (n(a1 + an))/2

18
Q

Sn геом

A

(bnq - b1)/(q-1) или (b1(qn - 1))/(q-1)